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Finding the Third Proportional to 98,403 and 156,655

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Solution

The third proportional to 98,403 and 156,655 is: 249,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,403 : 156,655 = 156,655 : x
  2. Step 2: Convert to fraction form
    98,403/156,655 = 156,655/x
  3. Step 3: Cross multiply
    98,403x = 156,655 × 156,655
  4. Step 4: Simplify right side
    98,403x = 24,540,789,025
  5. Step 5: Solve for x
    x = 24,540,789,025/98,403
  6. Step 6: Final answer
    x = 249,390.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.